Combined analysis of $B_c \to D_s^{(*)}\,\mu ^+ \mu ^-$ and $B_c \to D_s^{(*)}\, \nu \bar{\nu}$ decays within $Z^{\prime}$ and leptoquark new physics models

TL;DR

This paper analyzes rare $B_c$ decays to $D_s^{(*)}$ with muons and neutrinos within new physics models involving $Z^{\u200bprime}$ and leptoquarks, constraining parameters using recent experimental data.

Contribution

It introduces a specific new physics scenario with constrained parameters and evaluates its effects on various observables in $B_c$ decays, extending previous analyses.

Findings

Constraints on new physics parameters from experimental data.

Predictions for differential branching ratios and asymmetries under new physics.

Identification of potential deviations from Standard Model expectations.

Abstract

We investigate the exclusive rare semileptonic decays $ B_c \to D_{s}^{(*)}\,(\ell \ell, \nu \bar{\nu})$ induced by neutral current transition $b \to s (\ell \ell,\nu \bar{\nu})$ in the presence of non-universal $Z^{\prime}$, scalar and vector leptoquark new physics models. We constrain the new physics parameter space by using the latest experimental measurements of $R_{K^{(*)}}$, $P_5^{\prime}$, $\mathcal{B}(B_s \to \phi \mu^+ \mu^-)$ and $\mathcal{B}(B_s \to \mu^+ \mu^-)$. Throughout the analysis, we choose to work with the particular new physics scenario $C_9 ^{\mu \mu}(NP)=-C_{10} ^{\mu \mu}(NP)$ where both $Z^{\prime}$, $S_{1/3}^3$ and $U_{-2/3}^3$ leptoquarks satisfy the condition. Using these new coupling parameters we scrutinize the several physical observables such as differential branching fraction, the forward backward asymmetry, the lepton polarization asymmetry, the angular observable $P^{\prime}_5$ and the lepton flavor universal sensitive observables including the ratio of branching ratio $R_{D_s^{(*)}}$ and the few $Q$ parameters in the $B_c \to D_s^{(*)}\,\mu ^+ \mu ^-$ and $B_c \to D_s^{(*)}\, \nu \bar{\nu}$ decay processes.